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3 years ago

If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gºh) (5)?

Mathematics

1 answer:

gulaghasi [49]3 years ago

6 0

Answer: a) (5 - 7)²

Step-by-step explanation:

g(x) = x^2 h(x) = x - 7

h(5) = 5 - 7

g(h(5)) = g(5 - 7) = (5 - 7)² Replace the x in g(x) with (5 - 7)

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A building contains two elevators, one fast and one slow. The average waiting time for the slow elevator is 3 min. and the avera

cupoosta [38]

Answer: The expected waiting time is $1\dfrac{2}{3}\ min$

Step-by-step explanation:

Since we have given that

Average waiting time for slow elevator = 3 min

Average waiting time for fast elevator = 1 min

probability that a person choose the fast elevator = $\dfrac{2}{3}$

Probability that a person choose the slow elevator = $\dfrac{1}{3}$

So, the expected waiting time would be

$E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min$

Hence, the expected waiting time is $1\dfrac{2}{3}\ min$

8 0

3 years ago

Pls can someone help me and have it right

dangina [55]

Answer:

Problem 1:

a. x=2

b. x=3

c. x=1

Problem 2:

A multiplication equation to hold the table true:

$18\times3=54$

A division equation to hold the table true:

$\frac{54}{3} =18$

Step-by-step explanation:

Given in problem 1:

(a). The equation is $\frac{x}{6} > 1$

It holds true for all values of $x> 6$ .

Let us say $x=12$ ,

$\frac{x}{6}=\frac{12}{6} =2$ which is greater than 1.

(b). The equation is $\frac{x}{6} < 1$

It holds true for all values of $x< 6$ .

Let us say $x=3$

$\frac{x}{6} =\frac{3}{6} =\frac{1}{2}$ which is less than 1.

(c). The equation is $\frac{x}{6} = 1$

It holds true for only $x= 6$ .

Let us say $x=6$ ,

$\frac{x}{6} =\frac{6}{6}=1$ which is equal to 1.

Problem 2:

A multiplication equation to hold the table true:

$18\times3=54$

A division equation to hold the table true:

$\frac{54}{3} =18$

Therefore these are the values which hold true to the equation in problem 1 and 2.

8 0

3 years ago

a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.1

jonny [76]

Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

Total cost = $48.10

Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)

------------------------------------------------------------------
Form the equation and solve x
------------------------------------------------------------------
40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718

------------------------------------------------------------------
Answer: John had used 718 mins this month
------------------------------------------------------------------

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4 years ago

The coordinates of points A and L are -4 and 12, respectively. What is the coordinate of the midpoint between them?

Nostrana [21]

I'm not Totally sure but I'm pretty sure its B

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3 years ago

What is 1/3 plus 1/6?

Leya [2.2K]

The decimal is 0.0555555

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3 years ago

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